To write the decimal number 2.33 as a mixed number in its simplest form, follow these steps:
1. Separate the whole number from the fraction:
The number 2.33 consists of a whole number part and a decimal part. The whole number part is 2.
2. Convert the decimal part to a fraction:
The decimal part, 0.33, can be expressed as a fraction. Specifically, 0.33 is the same as 33 hundredths, which is written as [tex]\(\frac{33}{100}\)[/tex].
3. Combine the whole number with the fraction:
By combining the whole number part (2) with the fractional part [tex]\(\frac{33}{100}\)[/tex], we can write 2.33 as the mixed number [tex]\(2 \frac{33}{100}\)[/tex].
Thus, the correct answer is "none of the provided choices exactly match the mixed number form 2 [tex]\(\frac{33}{100}\)[/tex]." Instead, the mixed number for 2.33 in its simplest form is:
[tex]\[ 2 \frac{33}{100} \][/tex]
However, if we need to match one of the given multiple-choice options and assuming there might be a typographical or interpretation mistake in the problem's provided answers, none of these options directly equates to the mixed number.
Therefore, among the choices provided (A, B, C, D), the most appropriate selection would be:
[tex]\[ D. \frac{233}{100} \][/tex]
since this aligns with the steps used to derive the mixed number [tex]\(2 \frac{33}{100}\)[/tex].
